On Core XPath with Inflationary Fixed Points
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 47 (2013) no. 1, pp. 3-23.

We prove the undecidability of Core XPath 1.0 (CXP) [G. Gottlob and C. Koch, in Proc. of 17th Ann. IEEE Symp. on Logic in Computer Science, LICS '02 (Copenhagen, July 2002). IEEE CS Press (2002) 189-202.] extended with an Inflationary Fixed Point (IFP) operator. More specifically, we prove that the satisfiability problem of this language is undecidable. In fact, the fragment of CXP+IFP containing only the self and descendant axes is already undecidable.

DOI : 10.1051/ita/2012027
Classification : 68P15, 03B45, 03B70
Mots clés : modal logic, fixed points, XML databases, XPath
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Afanasiev, Loredana; Cate, Balder Ten. On Core XPath with Inflationary Fixed Points. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 47 (2013) no. 1, pp. 3-23. doi : 10.1051/ita/2012027. http://www.numdam.org/articles/10.1051/ita/2012027/

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